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GATE 2020 AG – Question 39

Soil and Water Conservation Engineering · Fluid Mechanics · 2 marks · Multiple choice

A differential mercury manometer measures two points on an oil pipe and shows 20 cm mercury-level difference. Specific gravities are oil0.8 and mercury13.6. Water density is 1000 kg/m³ and g=9.81 m/s². Find pressure difference in N/m².

  1. 25.11
  2. 251.14
  3. 25113.60
  4. 251136.00

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Correct answer: (C) 25113.60

Explanation

For the same-elevation pressure comparison intended, Δp=(ρHg−ρoil)gh=(13600−800)(9.81)(0.20)=25113.60 Pa, C. Subtract the displaced oil-column contribution instead of using mercury density alone.

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